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Finding the Third Proportional to 19,487 and 42,862

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Solution

The third proportional to 19,487 and 42,862 is: 94,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487 : 42,862 = 42,862 : x
  2. Step 2: Convert to fraction form
    19,487/42,862 = 42,862/x
  3. Step 3: Cross multiply
    19,487x = 42,862 × 42,862
  4. Step 4: Simplify right side
    19,487x = 1,837,151,044
  5. Step 5: Solve for x
    x = 1,837,151,044/19,487
  6. Step 6: Final answer
    x = 94,275.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.